IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v12y2019i11p2221-d238902.html
   My bibliography  Save this article

Stable Fault Tolerant Controller Design for Takagi–Sugeno Fuzzy Model-Based Control Systems via Linear Matrix Inequalities: Three Conical Tank Case Study

Author

Listed:
  • Himanshukumar R. Patel

    (Department of Instrumentation and Control, Faculty of Technology, Dharmsinh Desai University, Gujarat, 387001 Nadiad, India)

  • Vipul A. Shah

    (Department of Instrumentation and Control, Faculty of Technology, Dharmsinh Desai University, Gujarat, 387001 Nadiad, India
    These authors contributed to this work as a Ph.D guide.)

Abstract

This paper deals with a methodical design approach of fault-tolerant controller that gives assurance for the the stabilization and acceptable control performance of the nonlinear systems which can be described by Takagi–Sugeno (T–S) fuzzy models. Takagi–Sugeno fuzzy model gives a unique edge that allows us to apply the traditional linear system theory for the investigation and blend of nonlinear systems by linear models in a different state space region. The overall fuzzy model of the nonlinear system is obtained by fuzzy combination of the all linear models. After that, based on this linear model, we employ parallel distributed compensation for designing linear controllers for each linear model. Also this paper reports of the T–S fuzzy system with less conservative stabilization condition which gives decent performance. However, the controller synthesis for nonlinear systems described by the T–S fuzzy model is a complicated task, which can be reduced to convex problems linking with linear matrix inequalities (LMIs). Further sufficient conservative stabilization conditions are represented by a set of LMIs for the Takagi–Sugeno fuzzy control systems, which can be solved by using MATLAB software. Two-rule T–S fuzzy model is used to describe the nonlinear system and this system demonstrated with proposed fault-tolerant control scheme. The proposed fault-tolerant controller implemented and validated on three interconnected conical tank system with two constraints in terms of faults, one issed to build the actuator and sond is system component (leak) respectively. The MATLAB Simulink platform with linear fuzzy models and an LMI Toolbox was used to solve the LMIs and determine the controller gains subject to the proposed design approach.

Suggested Citation

  • Himanshukumar R. Patel & Vipul A. Shah, 2019. "Stable Fault Tolerant Controller Design for Takagi–Sugeno Fuzzy Model-Based Control Systems via Linear Matrix Inequalities: Three Conical Tank Case Study," Energies, MDPI, vol. 12(11), pages 1-22, June.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:11:p:2221-:d:238902
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/12/11/2221/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/12/11/2221/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xiangxiang Meng & Haisheng Yu & Tao Xu & Herong Wu, 2020. "Disturbance Observer and L 2 -Gain-Based State Error Feedback Linearization Control for the Quadruple-Tank Liquid-Level System," Energies, MDPI, vol. 13(20), pages 1-20, October.
    2. Chun-Tang Chao & Ding-Horng Chen & Juing-Shian Chiou, 2021. "Stability Analysis and Robust Stabilization of Uncertain Fuzzy Time-Delay Systems," Mathematics, MDPI, vol. 9(19), pages 1-13, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:12:y:2019:i:11:p:2221-:d:238902. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.